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Finding the Fourth Proportional to 3,581.24, 5,371.80 and 984.16

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Solution

The fourth proportional to 3,581.24, 5,371.80 and 984.16 is: 1,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.24 : 5,371.80 = 984.16 : x
  2. Step 2: Convert to fraction form
    3,581.24/5,371.80 = 984.16/x
  3. Step 3: Cross multiply
    3,581.24x = 5,371.80 × 984.16
  4. Step 4: Simplify right side
    3,581.24x = 5,286,710.69
  5. Step 5: Solve for x
    x = 5,286,710.69/3,581.24
  6. Step 6: Final answer
    x = 1,476.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.